242056436400 has 120 divisors (see below), whose sum is σ = 861541650960. Its totient is φ = 64548380160.

The previous prime is 242056436389. The next prime is 242056436423. The reversal of 242056436400 is 4634650242.

242056436400 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 5 + 6 + 4 + 3 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11195517 + ... + 11217116.

It is an arithmetic number, because the mean of its divisors is an integer number (7179513758).

Almost surely, 2^242056436400 is an apocalyptic number.

242056436400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242056436400 is an abundant number, since it is smaller than the sum of its proper divisors (619485214560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242056436400 is a wasteful number, since it uses less digits than its factorization.

242056436400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22412660 (or 22412643 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 242056436400 in words is "two hundred forty-two billion, fifty-six million, four hundred thirty-six thousand, four hundred".